The acceleration of a falling body is a perfect example of uniform velocity. Due to gravity, the acceleration of a freely falling body is 9.8 ms⁻². If we drop a body from the air its velocity increases by 9.8 ms⁻¹ in 1st second.
Again, its velocity increases by 9.8 ms⁻¹ in the 2nd second, that is its velocity increases by 9.8 ms⁻¹ for each successive second. Here the rate of change in velocity is the same as the center of the earth.
So, the acceleration is the same and this acceleration is uniform.